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Simplifying 30b2 + -17bt + -35t2 = 0 Reorder the terms: -17bt + 30b2 + -35t2 = 0 Solving -17bt + 30b2 + -35t2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + -7t)(6b + 5t) = 0Subproblem 1
Set the factor '(5b + -7t)' equal to zero and attempt to solve: Simplifying 5b + -7t = 0 Solving 5b + -7t = 0 Move all terms containing b to the left, all other terms to the right. Add '7t' to each side of the equation. 5b + -7t + 7t = 0 + 7t Combine like terms: -7t + 7t = 0 5b + 0 = 0 + 7t 5b = 0 + 7t Remove the zero: 5b = 7t Divide each side by '5'. b = 1.4t Simplifying b = 1.4tSubproblem 2
Set the factor '(6b + 5t)' equal to zero and attempt to solve: Simplifying 6b + 5t = 0 Solving 6b + 5t = 0 Move all terms containing b to the left, all other terms to the right. Add '-5t' to each side of the equation. 6b + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 6b + 0 = 0 + -5t 6b = 0 + -5t Remove the zero: 6b = -5t Divide each side by '6'. b = -0.8333333333t Simplifying b = -0.8333333333tSolution
b = {1.4t, -0.8333333333t}
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